Abstract
Starting from the definition of critical flows, the methods used for modeling are summarized. It appears that difficulties arise from the various nature of the laws governing mass, momentum and energy transfers through the interfaces. As a consequence, the flow conditions need to be well specified prior to start any modeling. A simple flow conditions tree is proposed and selected models for one-component flows are presented. Recommendations are made regarding future developments.
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References
Réocreux, M. “Contribution à l’étude des débits critiques en écoulement diphasique eau-vapeur.” Thèse de docteur ès sciences physiques, Université Scientifique et Médicale de Grenoble (1974).
Bouré, J.A., Fritte, A.A., Giot, M.M., and Réocreux, M.L. “Highlights of two-phase critical flow.” Int. J. Multiphase Flow 3 (1976) 1–22.
Delhaye, J.M., Giot, M., and Riethmuller, M.L. “Thermohydraulics of Two-Phase Systems for Industrial Design and Nuclear Engineering.” Hemisphere McGraw-Hill, Washington (1981).
Vernier, Ph., and Berne, Ph. “A critical review of interfacial vapour generation laws used in comparison with experimental data.” European Two-Phase Flow Group Meeting, Paris, June 2–3 (1982).
Banerjee, S. “A surface renewal model for interfacial heat and mass transfer in transient two-phase flow.” Int. J. Multiphase Flow 4 (1978) 571–573.
Ardron, K.H., and Duffey, R.B. “Acoustic wave propagation in a flow liquid-vapour mixture.” Int. J. Multiphase Flow 4 (1977) 303–322.
Fritte, A. “Vitesses de Propagation de petites perturbations dans les écoulements diphasiques liquide-gaz.” Thèse de Doctorat. Département Thermodynamique et Turbomachines. Université Catholique de Louvain (1974).
Fauske, H.K. “Two-phase two-and one-component critical flow.” Symp. on Two-Phase Flow. Exeter, Department of Chemical Engineering 2 (1965) 101–114.
Smith, R.V., Cousins, L.B., and Hewitt, G.F. “Two-phase two-component critical flow in a venturi.” AERE-R 5736 (1968).
Smith, R.V. “Two-phase tow-component critical flow in a venturi.” J. Basic Eng. 94 (1972) 147–155.
Ilic, V., and Bryant, R.A.A. “An experimental study of choked flow in short pipes with low air water mass fractions.” J. Fluids Eng. 99 (1977) 421–423.
Réocreux, M., and Seynhaeve, J.M. “Ecoulements diphasiques eau-vapeur: essais comparatifs de débits critiques.” EPE Acta Technica Belgica 10 (1974) 115–137.
Seynhasve, J.M. “Etude expérimentale des écoulements diphasiques critiques à faible titre.” Thèse de Doctorat. Département Thermodynamique et Turbomachines. Université Catholique de Louvain (1980).
Wallis, G.B. “Critical two-phase flow.” Int. J. Multiphase flow 6 (1980) 97–112.
Fauske, H.K. “A theory for predicting pressure gradients for two-phase critical flow.” Nucl. Sci. Eng. 17 (1963) 1–7.
Fauske, H.K. “Some ideas about the mechanism causing two-phase critical flow.” Appl. Sci. Res. Sect. A 13 (1964) 149–160.
Moody, F.J. “Maximum flow-rate of a single component. Two-phase mixture.” J. Heat Transfer 87 (1965) 134–142.
Moody, F.J. “Maximum two-phase vessel blowdown from pipes.” J. Heat Transfer 88 (1966) 285–293.
Faletti, D.W., and Moulton, R.W. “Two-phase critical flow of steam-water mixtures.” AIChE J. 9 (1963) 247–253.
Isbin, H.S., Moy, J.E., and Da Cruz, A.J.R. “Two-phase, steam-water critical flow.” AIChE J. 3 (1957) 3, 361–365.
Zaloudek, F.R. “The low pressure critical discharge of steam water mixtures from pipes.” HW-68934 REV (1961).
Giot, M., and Fritte, A. “Two-phase two-and one-component critical flows with the variable slip model.” Progress in Heat and Mass Transfer, vol. 6, Proc. Int. Symp. on Two-Phase Systems, Pergamon, New York (1972) 651–670.
Seynhaeve, J.M., and Giot, M. “Critical flow of flashing water through long tubes.” Nuclear Reactor Safety Heat Transfer, Int. Seminar Dubrovnik (1980).
Henry, R.E. “A study of one-and two-component two-phase critical flows at low qualities.” ANL-7430 (1968).
Lackmé, C. “Limitation de l’autovaporisation d’un liquide sursaturé liée à l’expulsion sonique des phases produites.” CEA-R-4942 (1978).
Lackmé, C. “Autovaporisation dans une conduite d’ un liquide saturé ou sous-refroidi à l’entrée.” CEA-R-4957 (1978).
Lackmé, C. “Incompleteness of the flashing of supersaturated liquid and sonic ejection of the produced phases.” Int. J. Multiphase Flow 5 (1979) 131–141.
Lackmé, C. “Thermodynamics of critical two-phase discharge from long pipes of initially subcooled water.” Nuclear Reactor Safety Heat Transfer, Int. Seminar, Dubrovnik (1980).
Lackms, C. “Cinstique de la vaporisation de l’eau chaude qui se détend dans un tube.” CEA-R-5108 (1981).
Mali, P., and Hardy, Ph. “Etude d’un modèle de détente critique d’un liquide initialement sous-saturé, et son application à la sûreté des réacteurs nucléaires.” Travail de fin d’études, Département Thermodynamique et Turbomachines, Université Catholique de Louvain (1982).
Ardron, K. H. “A two-fluid model for critical vapour-liquid flow.” Int. J. Multiphase Flow 4 (1978) 323–337.
Richter, H.J. “Separated two-phase flow model: application to critical two-phase flow.” EPRI NP-1800 (1981).
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© 1983 Martinus Nijhoff Publishers, The Hague
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Giot, M., Fritte, A. (1983). Modeling of Critical Flow. In: Kakaç, S., Ishii, M. (eds) Advances in Two-Phase Flow and Heat Transfer. NATO ASI Series, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6845-5_4
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DOI: https://doi.org/10.1007/978-94-009-6845-5_4
Publisher Name: Springer, Dordrecht
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